Monotone orbifold Hurwitz numbers

DOI10.1007/s10958-017-3551-9zbMath1388.14097arXiv1505.06503OpenAlexW2962766059MaRDI QIDQ1687945

Peng Zhang

Publication date: 4 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06503

zbMATH Keywords

orbifoldbranched coverHurwitz numbertopological recursionquantum curvecut-and-join recursion

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Low-dimensional topology of special (e.g., branched) coverings (57M12) Riemann surfaces; Weierstrass points; gap sequences (14H55) Topology and geometry of orbifolds (57R18)

Related Items (12)

Tropical jucys covers ⋮ Cut-and-join equation for monotone Hurwitz numbers revisited ⋮ Ramifications of Hurwitz theory, KP integrability and quantum curves ⋮ Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Wall-crossing and recursion formulae for tropical Jucys covers ⋮ Asymptotics for real monotone double Hurwitz numbers ⋮ On the convergence of monotone Hurwitz generating functions ⋮ A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d'enfants double Hurwitz numbers ⋮ Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants ⋮ Generalisations of the Harer-Zagier recursion for 1-point functions ⋮ Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d'enfant, monotone, and double simple Hurwitz numbers

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